What are the roots of this polynomial? f(x) = (x+9)(x-9)(x+10)?

The graph of the quadratic equation with axis of symmetry x = - 2 is shown in figure.

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The function is,

⇒ f (x) = - 3 (x + 2)² + 1

Now,

We know that;

If the function is of the form y = a (x - h)² + k;

Then, The vertex = (h, k)

And, Axis of symmetry is, x = h

Here, The function is,

⇒ f (x) = - 3 (x + 2)² + 1

⇒ f (x) = - 3 (x - (- 2))² + 1

By comparing we get;

h = - 2 , k = 1

So, Vertex of the function = (- 2, 1)

And, Axis of symmetry is;

⇒ x = - 2

Thus, The graph of the quadratic equation with axis of symmetry x = - 2 is shown in figure.

Learn more about the quadratic equation visit:

https://brainly.com/question/1214333

#SPJ1

Time taken by bus to travel from Las Vegas to salt lake city is 6.41 hours.

Here it is given that bus travel from La to Lv in 4 hours and the distance between them is 265 miles.

We have to find the time taken to travel from Las Vegas to salt lake city whose distance between them is 425 miles.

Formula to find the speed is:

Speed = Distance / Time

Distance = 265 miles

Time = 4 hours

Speed = 265/4

= 66.25 miles/ hour

From this, we can find the time taken to travel from Las Vegas to salt lake city.

Distance = 425 miles

Speed = 66.25 miles/ hours

Speed = Distance/time

Time = Distance / Speed

= 425/ 66.25

= 6.41 hours

Therefore the time taken is 6.41 hours.

To know more about the Speed, Distance and time refer to the link given below:

https://brainly.com/question/26046491

#SPJ4

The pounds of flour the bakery has at the end of the month is 92.725 lb

The negative numbers denote when flour was used while the positive numbers denote when flour was added. The negative numbers would be subtracted while the positive numbers would be added.

For ease of computation, the mixed numbers would be converted to decimals.

-58 1/2 = -58.5

75 3/10 = 75.3

-67 7/8 = -67.875

Pounds of flour the bakery has at the end of the month: 215.4 - 58.5 - 70.6 + 75.3 - 67.875 = 92.725 lb

To learn more about how to calculate quantities, please check: https://brainly.com/question/20516561

#SPJ1

Answer:

x=2

Step-by-step explanation:

add the x onto the other side so it is positive : 7=5+x

then subtract the 5 from both sides so you can isolate the x : 2=x

rewrite the equation: x=2

☆ Hello ☆

The value of x is 2.

[tex] \red{ \sf \underline {\underline{Explantation: }}}[/tex]

¿What are equations?

The equations represent an equality between two mathematical expressions that have at least one variable called unknown.

[tex] \sf \:Solution:[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\boldsymbol{\mathsf{7 - x = 5}}\\\boldsymbol{\mathsf{ - x = 5-7}}\\\boldsymbol{\mathsf{ - x = -2}}\ \\ {\mathsf{ x = 2}}\end{gathered}[/tex]

[tex] \bf \:Verification:[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\boldsymbol{\mathsf{7 - 2 = 5}}\\\boldsymbol{\mathsf{ 5=5}}\end{gathered}[/tex]

[tex]\green{ \sf \: The \: result \: is} \: \red{\longmapsto} \blue 5[/tex]

The graph of the given functions is (see in attachments).

From the question, we have

g(x) = 0.44√3.2x−4.1

Graph:

A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.

To learn more about graph visit: https://brainly.com/question/17267403

#SPJ9

The value of 3 in 5.53 is 3 hundredths.

It is important to note that place values can be defined as the value that's represented by a digit based on the position that it takes. In mathematics, place value refers to the position or location of a digit in a number.

Each digit has a specific place in a number. The position of each digit will be expanded when we represent the number in general form. Those positions begin with a unit place, also known as one's position.

In this case, we want to know the value of 3 in 5.53. It should be noted that the first 5 is 5 ones, the second 5 is 5 tenths and the 3 is 3 hundredths.

Therefore, it's 3 hundredths.

Learn more about place values on:

brainly.com/question/1654524

#SPJ1

Complete question

What is the value of 3 in 5.53?

Answer:

(-3,1)  & (3, -1)

Step-by-step explanation:

Solving quadratic equation and linear equation:

2x² + y² = 19 -----------------(I)

x + 3y = 0 -----------------(II)

         x = -3y --------------(III)

Substitute x = -3y in equation (I) and we can find the value of y.

2(-3y)² + y² = 19

2*9y² + y²  = 19

  18y² + y² = 19

Combine like terms,

          19y² = 19

             y² = 19 ÷ 19

              y² = 1

              y = √1

              y = ±1

Substitute y = ±1 in equation (III) and find the value of x.

When y = 1,

              x = -3*1

              x = -3

When y = -1,

               x = -3*(-1)

             x = 3

Solutions:  (-3, 1) ; (3, -1)                  

Check the picture below.

The required question based on number of posters is y = 109.95 + 65x.

The cost of additional posters = 65x, based on the mentioned information.The 100 posters make 1 set. Assuming the total number of posters be x. So, the additional sets will be calculated by the formula = (x - 100)/100.

Now, the equation will be the sum of the cost of first 100 posters and the cost of remaining posters.

y = 109.95 + 65x

Thus, the equation with the total cost (in dollars) as a function of the number (in hundreds) of posters ordered is y = 109.95 + 65x.

Learn more about equations -

https://brainly.com/question/21405634

#SPJ4

In a binomial experiment, there are two possible results for each trial, which are referred to as "success" and "failure," respectively.

If the following criteria are satisfied, a statistical experimentation can be categorised as a binomial experiment:

Thus, in a binomial experiment, there are two possible results for each trial, which are referred to as "success" and "failure," respectively.

To know more about the binomial experiment, here

https://brainly.com/question/9325204

#SPJ4

The vertex of the curve is at (-2, -4) and the axis of symmetry is at -2

The curve opens downward.

from, the graph, the roots of the equation are -4 and 0

so if -4 is a root, (x + 4) is a factor and if 0 is a root, then x is a factor.

The equation of the curve is the product of the factors of the curve which is y = x(x + 4)

y = [tex]x^{2}[/tex] + 4x

the x coordinate of the vertex = -b/2a = axis of symmetry

where a is the coefficient of [tex]x^{2}[/tex] and b is the coefficient of x

so a = 1, b = 4

x coordinate of vertex = -4/2 = -2

substitute x = -2 into y =  [tex]x^{2}[/tex] + 4x to find the y-coordinate of the vertex

y = [tex](-2)^{2}[/tex] + 4(-2)

y = 4 -8

y = -4

vertex is (-2, -4)

The axis of symmetry is -b/2a which is -2

The curve opens downward as the vertex is at -4

In conclusion, the vertex of the parabola is (-2, -4) and the axis of symmetry is -2 and the parabola opens downward

Learn more about parabola: https://brainly.com/question/4061870

#SPJ1

The technological innovation could help solve an environmental issue that is likely to threaten Australia in the future is D. Using electric cars could help lessen droughts.

Streamflows decrease, water levels in lakes and reservoirs fall, and the depth to water in wells increases when rainfall is less than normal for a period of weeks to years. If the dry weather continues and water supply issues arise, the dry period may turn into a drought.

For the first time since 2017, Australia ended 2021 in an unusual climatic state, with no region in this famously vast, mostly brown land officially declared to be in drought. It should be noted that the country has drought challenges and electric cars could help reduce the water used.

Learn more about drought on:

https://brainly.com/question/12686086

#SPJ1

4. There is no enough information.

5. ΔPEF ≅ ΔREF are congruent by SAS.

6. ΔKMO ≅ ΔOLK are congruent by SSS.

7. No enough information.

8. ΔPAN ≅ ΔKLC are congruent by SSS.

9. ΔABC ≅ ΔDEF are congruent by SSS.

The SSS and SAS are theorems of triangle congruence that can be used to prove that two triangles are congruent. To prove that two triangles are congruent by SSS, both triangles must have three pairs of corresponding lengths that are congruent, while SAS is used when the two triangles have two pairs of congruent sides that are corresponding, and a pair of congruent included angles.

4. There is no enough information to prove triangles HNJ and RDF are congruent by neither SAS nor SSS.

5. Triangles PEF and REF are congruent by SAS.

6. Triangles KMO and OLK are congruent by SSS.

7. No enough information.

8. Triangles PAN and KLC are congruent by SSS.

9. Triangles ABC and DEF are congruent by SSS.

Learn more about the SAS and SSS on:

https://brainly.com/question/3999145

#SPJ1

Answer:

someone answer please ive been waiting for 2 hours :skull:

Step-by-step explanation:  please answer yall

The probability that the proportion of politicians who are lawyers will be less than 40% is 0.009299 .

Given :

Population Proportion ( p ) = ( 44 % ) = 0.44

Sample proportion ( p hat ) = ( 40 % ) =  0.4

Size of sample ( n ) = 853

To find : P ( p hat < 0.4 )

Formula : ( p hat - p ) / [tex]\sqrt{ p * ( 1 - p ) / n }[/tex]

Substituting values in the above formula ,

z = ( 0.4 - 0.44 ) / [tex]\sqrt{ 0.44 * ( 1 - 0.44 ) / 853}[/tex]

z = - 2.3535

z - score = -2.3535

Finding the p - value :

p - value = 0.009299

Therefore , the probability that the proportion of politicians who are lawyers will be less than 40% is 0.009299 .

To learn more on sample proportion follow link :

https://brainly.com/question/24232216

#SPJ4

Answer:

The answer is 80

Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

Given that,

Cindy and Irma visited an arcade where the games accepted tokens. Irma used 58 tokens in total while playing 9 games of skee ball and 10 games of pinball. Cindy used up 26 tokens playing 5 games of skee ball and 4 games of pinball concurrently.

We have to find how many tokens are needed for each game. How many tokens are required for each skee ball game.

Let us take the skee balls as x and the pin ball as y.

We get,

9x+10y=58---> equation (1)

5x+4y=26---> equation (2)

Multiply equation (1) with 5 and equation (2) with 9.

5(9x+10y=58)⇒45x+50y=290

9(5x+4y=26)⇒45x+36y=234

                     ------------------------          (subtracting those equation)

                       0+14y=56

14y=56

y=56/14

y=4

Substitute y=4 in equation(2)

5x+4y=26

5x+4(4)=26

5x+16=26

5x=26-16

5x=10

x=10/5

x=2

Therefore, Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

To learn more about game visit: https://brainly.com/question/3863314

#SPJ13

Answer:

x = 16

Step-by-step explanation:

1: Put the numbers into an equation.

(1672.50 - 1068.50) / 37.75x

2: Solve the equation in parentheses.

(604) / 37.75x

3: Divide.

16 = x

Only 16 players can be brought to the tournament

The extrema of the quadratic equation is at the vertex, and it is a minimum at:

y = -1.75

Here we have the following quadratic equation:

y = 3x^2 - x - 2

We can see that the leading coefficient (the coefficient in the term with the largest exponent) is positive, this means that the parabola opens upwards.

This means that the vertex of the quadratic equation will be a minimum.

Remember that for a quadratic equation:

y = a*x^2 + b*x + c

The vertex is at:

x = -b/2a

So for our quadratic, the vertex is at:

x = -1/(2*3) = -1/6

Evaluating the quadratic equation there we get:

y = 3*(-1/6)^2 - (-1/6) - 2

y = -1.75

That is the minimum of the quadratic.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Answers: A, A, A

1)A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is: 27 cm

15cmx 27cm= 405 cm

2)The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively: 3 and 5

(I don't really know how to explain this.......)

3)The expression that simplifies to 11x + 2y is: 4x+3y+7x-y

 4x+7x=11x

  3y-y = 2y

Therefore, it will equal to 11x+2y.

I really hope this helps!

Please Mark Me Brainliest!!!

(I'm in 5th Grade Honors but I learn MS)

Answer:

All the answer are A

Step-by-step explanation:

Area = length times width

405 = x15  Divide both sides by 15

27 = x

For the x intercept  Let y = o and solve for x

5x - 3y -15 = 0

5x - 3(0) -15 = 0

5x -15 = 0  Add 15 to both sides of the equation

5x = 15  Divide both sides by 5

x = 3

The x intercept is (3,0)

For the y intercept Let x = 0 and sole for y

5x -3y -15 = 0

-3y -15 = 0  Add 15 to both sides of the equation

-3y = 15  Divide both sides by -3

y = -5

The y intercept is (0,-5)

4x + 3y + 7x - y  Combine the like terms

(4x + 7x) = (3y -y)

11x + 2y

The graph of (y = 4x), which depicts the relationship between the quantity of tickets sold (x) and the sum of the proceeds from the sales (y), can be drawn by first formulating the linear equation and then using the transformation.

Which is the function's graph?

We have a piecewise function right here:

If x > 6, f(x) = 0.5*x - 2.

If x > 6, f(x) = -x - 1

Given:

Each ticket for the school play is $4.

There have been 'x' tickets sold in total.

The tickets generated 'y' in total revenue.

The graph showing the relationship between the quantity of tickets sold (x) and the sum of the ticket sales (y) can be drawn using the procedures below:

Form the linear equation in two variables as a first step.

y = 4x

The total revenue from the tickets is shown in the equation above.

Draw the graph of (y = x) in step two.

Step 3: In the graph of (y = x), multiply the x-axis by 4 units. The graph that is produced is (y = 4x).

You may find the graph for (y = 4x) below.

If you want to learn more about piecewise functions:

brainly.com/question/3628123

#SPJ1

The sales tax of his purchase if he lives in Florida where the sales tax rate is 6 percent is $67.92

The word "percent" comes from the Latin per centum, which means "hundred" or "by the hundredth." The symbol for "percent" emerged gradually from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and eventually vanished. The "cento" symbol was simplified to two circles divided by a horizontal line, from which the contemporary "%" symbol was formed.

The abbreviation "pct.", "pct," and sometimes "pc" are also used. A % is a dimensionless (pure) number with no unit of measurement.

Given,

Total purchase=$878

For two tables,

2×127=254

Total=878+254

=1132

6% of 1132 is,

(6/100)×1132

=$67.92

The sales tax of his purchase if he lives in Florida where the sales tax rate is 6 percent is $67.92

To know more about percentage, visit:

https://brainly.com/question/16797504

#SPJ1

Step-by-step explanation:

those are the answers if I am wrong you can correct

The equation of the line parallel to x - y = 3 and passes through pint (2,-4) is y = x - 6.

The equation of line is expressed as;

y = mx + b

The point-slope formula is expressed as;

y - y₁ = m( x - x₁ )

Where m is slope and b is the y-intercept.

Given the data in the question;

Point: (2,-4)

First, reorder the given equation in slope-intercept form and determine the slope.

x - y = 3

x = 3 + y

3 + y = x

y = x - 3

Hence,

The slope m = 1

To find the line parallel to the equation, the slope must be equal.

Find the line using point-slope formula.

y - y₁ = m( x - x₁ )

Plug in slope m = 1 and point: (2,-4)

y - ( -4 ) = (1)( x - 2 )

Simplify and convert to slope intercept form.

y + 4 = x - 2

y = x - 2 - 4

y = x - 6

Therefore, the equation of line is y = x - 6.

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

The value of the given expression will be 4 / 3.

An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation. Check to verify if you can write both sides of the equation as powers of the same number before attempting to solve an exponential equation.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given logarithmic expression is log₂(∛16). The expression will be solved as below,

[tex]E = log_2\sqrt[3]{16}\\E = log_2(2^{\frac{4}{3})\\E = \dfrac{4}{3}log_22\\E = \dfrac{4}{3}[/tex]

Therefore, the solution of the expression will be equal to 4 / 3.

To know more about an expression follow

https://brainly.com/question/20473168

#SPJ1

The equation of the parabola that similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5

The equation of the parabola

f(x) = [tex]7x^2[/tex]

The standard vertex form of a parabola is

y = [tex]a(x-h)^2[/tex] + k

The coordinates of the vertex of a parabola = (3, 5)

Where (h, k)  is the coordinates

From the given function of the parabola f(x) =  [tex]7x^2[/tex]

The value of a = 7

Substitute the values in the vertex form of a parabola

y = [tex]7(x-3)^2[/tex] + 5

Hence, the equation of the parabola that is similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5

Learn more about vertex form here

brainly.com/question/21500885

#SPJ1

Answer:

140

Step-by-step explanation:

2x+5x+40=180

7x+40=180

7x=140

x=20

5x+40=BCD

5(20)+40

100+40

140

Answer:

See below

Step-by-step explanation:

The equations are in form   y = mx + b  where m = slope

  if the lines are parallel then the slopes are equal :

3/K  = H/2      Done.

Answer:

y = 8x - 6

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We know that the y-intercept occurs when x = 0 so from the table, it's b = -6

We can use the slope formula to find the slope:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\ \frac{2-(-6)}{1-0} \\\frac{2+6}{1-0} \\8=m[/tex]

The slope of the line parallel to the line that has an equation of 2x + 4y = 56  is -2

The line equation is given as

2x + 4y = 56

Subtract 2x from both sides

This gives

4y = -2x - 56

Divide through the equation by 4

So, we have

y = -0.5x - 14

A linear equation is represented as

y = mx + c

Where m represents the slope

This means that

m = -0.5

Parallel lines have the same slope

This means that the slope of the line parallel to the line is -0.5

Read more about slope at

brainly.com/question/3493733

#SPJ1